Students can practice Telangana 6th Class Maths Textbook Solutions Chapter 6 Integers Ex 6.3 to get the best methods of solving problems.
TS 6th Class Maths Solutions Chapter 6 Integers Exercise 6.3
Question 1.
Add the following integers using number line.
(i) 7 + (- 6)
Answer:
∴ (+7) + (-6) = +1
(ii) (- 8) + (- 2)
Answer:
∴ (-8) + (-2) = -10
(iii) (- 6) + (- 5) + (+ 2)
Answer:
∴ (-6) + (-5) + (2) = -9
(iv) (- 8) + (- 9) + (+ 17)
Answer:
∴ (-8) + (-9) + (-17) = 0
(v) (-3) + (-8) + (-5)
Answer:
∴ (-3) + (-8) + (-5) = -16
(vi) (- 1) + 7 + (- 3)
Answer:
∴ (-1) + (7) + (-3) = 3
Question 2.
Add without using number line,
(i) 10 + (-3)
(ii) – 10 + (+ 16)
(iii) (- 8) + (+ 8)
iv) – 215 + (+100)
(v) (- 110) + (- 22)
(vi) 17 + (- 11)
Answer:
(i) 10 + (-3) = 7 + 3 + (- 3)
= 7 + [(3) + (- 3)]
= 7 + 0
= 7
(ii) – 10 + (+ 16) = – 10 + (10 + 6)
= [(- 10) + (+ 10)] +(6)
= 0 + 6
= 6
(iii) (- 8) + (+ 8) = [(- 8) + (+ 8)] = 0
(iv) – 215 + (+100)
= -115 – 100 + (+100)
= -115+ [(-100)+ (+100)]
= -115 + 0
= -115
(v) (-110) + (- 22)
= – 110 – 22
= – 132
(vi) 17 + (- 11)
= 6 + [(11) + (-11)]
= 6 + 0 = 6
Question 3.
Find the sum of:
(i) 120 and – 274
(ii) – 68 and 28
(iii) – 29, 38 and 190
(iv) – 60, – 100 and 300
Answer:
(i) (120) + (-274) .
= (120) + (- 120 – 154)
= (120) + (- 120) + (- 154)
= [(120) + (- 120)] + (- 154)
= 0-154 = -154
(ii) (- 68) + 28
= (- 40 – 28) + 28
= (-40)+ (-28)+ (28)
= -40 + [(-28) + (28)]
= -40 + 0
= -40
(iii) (- 29) + (38) + (190)
= – 29 + [38 + 190]
= – 29 + 228 = 199
(iv) (- 60) + (- 100) + (300)
= (- 60 – 100) + (300)
= – 160 + 300
= 140
Question 4.
Simplify:
(i) (- 6) + (-10) + 5+17
(ii) 30 + (- 30) + (- 60) + (- 18)
(iii) (- 80) + (+ 40) + (- 30) + (+ 6)
(iv) 70 + (- 18) + (- 10) + (- 17)
Answer:
(i) (- 6) + (-10) + 5 + 17
= -6 – 10 + 5 + 17
= -16 + 22
= 6
(ii) 30 + (-30)+ (-60) + (-18)
= 30 – 30 – 60 – 18
= 0 – 78
= – 78
(iii) (- 80) + (+ 40) + (- 30) + (+ 6)
= (- 80) + (- 30) + (+ 40) + (+ 6)
= – 80 – 30 + 40 + 6
= -110 + 46
= -64
(iv) 70 + (- 18) + (- 10) + (- 17)
= 70 – 18 – 10 – 17
= 70 – 45
= 35